Finite Group Databasebeta

← Group #281218

Character table — Group #281218

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1111-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1111-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-11-1-111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11111-1-111-1-1-1-1-11
χ17222222222-2-22-2-2220000-2-22222222200-2-20000000000000-2-20000000000000
χ18222222222-2-22-2-2220000-2-22222-2-2-2-200-2-20000000000000220000000000000
χ19222222222-2-22-2-2220000-2-2-2-2-2-222-2-200220000000000000-220000000000000
χ20222222222-2-22-2-2220000-2-2-2-2-2-2-2-222002200000000000002-20000000000000
χ2122222222-222-222-2-22222-2-200000000-2-20022-2-200000000200-2000000000000
χ2222222222-222-222-2-22222-2-200000000-2-200-2-22200000000-2002000000000000
χ2322222222-222-222-2-2-2-2-2-2-2-200000000220022-2-200000000-2002000000000000
χ2422222222-222-222-2-2-2-2-2-2-2-2000000002200-2-22200000000200-2000000000000
χ252-22-22-22-22-2-2-2222-22i2i−2i−2i-22000000002i−2i000000000022-2-20000000000002i−2i00
χ262-22-22-22-22-2-2-2222-22i2i−2i−2i-22000000002i−2i0000000000-2-222000000000000−2i2i00
χ272-22-22-22-22-2-2-2222-2−2i−2i2i2i-2200000000−2i2i000000000022-2-2000000000000−2i2i00
χ282-22-22-22-22-2-2-2222-2−2i−2i2i2i-2200000000−2i2i0000000000-2-2220000000000002i−2i00
χ292-22-22-22-2-2222-2-2-220000-2222-2-20000002-200000000000000002i−2i2i−2i00000000
χ302-22-22-22-2-2222-2-2-220000-2222-2-20000002-20000000000000000−2i2i−2i2i00000000
χ312-22-22-22-2-2222-2-2-220000-22-2-222000000-2200000000000000002i−2i−2i2i00000000
χ322-22-22-22-2-2222-2-2-220000-22-2-222000000-220000000000000000−2i2i2i−2i00000000
χ332-22-22-22-2-2-2-2222-222i2i−2i−2i2-222-2-20000−2i2i-2200002i2i−2i−2i00000000000000000000
χ342-22-22-22-2-2-2-2222-222i2i−2i−2i2-2-2-2220000−2i2i2-20000−2i−2i2i2i00000000000000000000
χ352-22-22-22-2-2-2-2222-22−2i−2i2i2i2-222-2-200002i−2i-220000−2i−2i2i2i00000000000000000000
χ362-22-22-22-2-2-2-2222-22−2i−2i2i2i2-2-2-22200002i−2i2-200002i2i−2i−2i00000000000000000000
χ3744444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ38444-4-44-4-404-404-400000000000000000000000022−2222−2200000000000000000000
χ39444-4-44-4-404-404-4000000000000000000000000−2222−222200000000000000000000
χ40444-4-44-4-40-440-44004-44-4000000000000000000000000000000000000000000
χ41444-4-44-4-40-440-4400-44-44000000000000000000000000000000000000000000
χ4244-444-4-4-4400-400-440000000000004-400000000000000000000000000000000
χ4344-444-4-4-4400-400-44000000000000-4400000000000000000000000000000000
χ4444-444-4-4-4-4004004-4000000000000000000000000000000000000000022−220000
χ4544-444-4-4-4-4004004-40000000000000000000000000000000000000000−22220000
χ4644-4-4-4-4440000000000000022−2222−2200000000002i2−2i200002i−2i2i−2i0000000000000000
χ4744-4-4-4-4440000000000000022−2222−220000000000−2i22i20000−2i2i−2i2i0000000000000000
χ4844-4-4-4-44400000000000000−2222−222200000000002i2−2i20000−2i2i−2i2i0000000000000000
χ4944-4-4-4-44400000000000000−2222−22220000000000−2i22i200002i−2i2i−2i0000000000000000
χ504-444-4-4-4404-40-44004i−4i−4i4i000000000000000000000000000000000000000000
χ514-444-4-4-4404-40-4400−4i4i4i−4i000000000000000000000000000000000000000000
χ524-444-4-4-440-4404-40000000000000000000000002i2−2i2−2i22i200000000000000000000
χ534-444-4-4-440-4404-4000000000000000000000000−2i22i22i2−2i200000000000000000000
χ544-44-44-44-4444-4-4-44-400004-40000000000000000000000000000000000000000
χ554-4-44-444-40000000000000022−22−2222000000002i2−2i20000002i−2i−2i2i0000000000000000
χ564-4-44-444-40000000000000022−22−222200000000−2i22i2000000−2i2i2i−2i0000000000000000
χ574-4-44-444-400000000000000−222222−22000000002i2−2i2000000−2i2i2i−2i0000000000000000
χ584-4-44-444-400000000000000−222222−2200000000−2i22i20000002i−2i−2i2i0000000000000000
χ594-4-4-444-44400400-4-4000000000000000000000000000000000000002i2−2i2000000
χ604-4-4-444-44400400-4-400000000000000000000000000000000000000−2i22i2000000
χ614-4-4-444-44-400-4004400000000004-40000000000000000000000000000000000
χ624-4-4-444-44-400-400440000000000-440000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).